10153833818112 has 144 divisors (see below), whose sum is σ = 29329284085920. Its totient is φ = 3384247984128.

The previous prime is 10153833817991. The next prime is 10153833818251. The reversal of 10153833818112 is 21181833835101.

10153833818112 is a `hidden beast` number, since 1 + 0 + 1 + 538 + 3 + 38 + 1 + 81 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213547813 + ... + 213595355.

It is an arithmetic number, because the mean of its divisors is an integer number (203675583930).

Almost surely, 2^{10153833818112} is an apocalyptic number.

10153833818112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10153833818112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14664642042960).

10153833818112 is an abundant number, since it is smaller than the sum of its proper divisors (19175450267808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10153833818112 is a wasteful number, since it uses less digits than its factorization.

10153833818112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59158 (or 59135 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 10153833818112 in words is "ten trillion, one hundred fifty-three billion, eight hundred thirty-three million, eight hundred eighteen thousand, one hundred twelve".